{"id":"vidhyamitra:city-day:mathura:1957-01-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1957-01-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1957-01-28","date_display":"January 28, 1957 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1957,"month":1,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2435866.770833,"kali_year":5058,"ahargana":1847401.2708,"sun":{"sidereal_longitude":284.6982,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":252.5126,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.8144,"elapsed_within_tithi_degrees":3.8144},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":252.5126,"elapsed_within_degrees":12.5126},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.2109},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1957,"month":1,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2435866.770833,"ahargana":1847401.2708,"kali_year":5058,"ayanamsa_lahiri":23.2534,"grahas":{"sun":{"sidereal_longitude":284.605234,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":253.39133399999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false,"latitude":2.6889},"mars":{"sidereal_longitude":6.9979339999999866,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":260.740134,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":158.33263399999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":266.345334,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":229.03353400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":215.7904,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.7904,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1957,"month":1,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2435866.770833,"kali_year":5058,"ahargana":1847401.2708,"sun":{"sidereal_longitude":284.6982,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":252.5126,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.8144,"elapsed_within_tithi_degrees":3.8144},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":252.5126,"elapsed_within_degrees":12.5126},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.2109},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.689,"elongation":32.186},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.689,"opposition_distance":147.814}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:08","sunsetLocal":"17:57","solarNoonLocal":"12:32","dayLengthHours":10.812172741375118,"dayLengthDisplay":"10 Hours 48 Mins 44 Secs","nightLengthDisplay":"13 Hours 11 Mins 16 Secs","moonriseLocal":"05:16","moonsetLocal":"15:39","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"09:50","startHours":8.483432422565427,"endHours":9.834954015237317,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:11","end":"12:32","startHours":11.186475607909205,"endHours":12.537997200581096,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:53","end":"15:14","startHours":13.889518793252986,"endHours":15.241040385924876,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.654751136214397,"endHours":10.015156894260235,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.582418027450834,"endHours":7.870742633887504,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.17759144253526,"endHours":12.898402958626935,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:41","end":"06:25","startHours":5.690287797710188,"endHours":6.411099313801863,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:08","startHours":6.230896434778944,"endHours":7.131910829893537,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:04","startHours":14.340025990810283,"endHours":15.060837506901956,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.744083571268657,"endHours":18.144083571268656,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:24","startHours":17.944083571268656,"endHours":18.394590768825953,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.694083571268656,"endHours":19.444083571268656,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.17759144253526,"endHours":24.89840295862693,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:08","end":"08:29","startHours":7.131910829893537,"endHours":8.483432422565427,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"09:50","startHours":8.483432422565427,"endHours":9.834954015237317,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:11","startHours":9.834954015237317,"endHours":11.186475607909205,"quality":"auspicious"},{"name":"Roga","start":"11:11","end":"12:32","startHours":11.186475607909205,"endHours":12.537997200581096,"quality":"inauspicious"},{"name":"Udveg","start":"12:32","end":"13:53","startHours":12.537997200581096,"endHours":13.889518793252986,"quality":"inauspicious"},{"name":"Chala","start":"13:53","end":"15:14","startHours":13.889518793252986,"endHours":15.241040385924876,"quality":"neutral"},{"name":"Labha","start":"15:14","end":"16:36","startHours":15.241040385924876,"endHours":16.592561978596766,"quality":"auspicious"},{"name":"Amṛta","start":"16:36","end":"17:57","startHours":16.592561978596766,"endHours":17.944083571268656,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:57","end":"19:36","startHours":17.944083571268656,"endHours":19.592561978596766,"quality":"neutral"},{"name":"Labha","start":"19:36","end":"21:14","startHours":19.592561978596766,"endHours":21.241040385924876,"quality":"auspicious"},{"name":"Amṛta","start":"21:14","end":"22:53","startHours":21.241040385924876,"endHours":22.88951879325299,"quality":"auspicious"},{"name":"Kāla","start":"22:53","end":"00:32","startHours":22.88951879325299,"endHours":24.537997200581096,"quality":"inauspicious"},{"name":"Śubha","start":"00:32","end":"02:11","startHours":24.537997200581096,"endHours":26.18647560790921,"quality":"auspicious"},{"name":"Roga","start":"02:11","end":"03:50","startHours":26.18647560790921,"endHours":27.83495401523732,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:29","startHours":27.83495401523732,"endHours":29.48343242256543,"quality":"inauspicious"},{"name":"Chala","start":"05:29","end":"07:08","startHours":29.48343242256543,"endHours":31.13191082989354,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.131910829893537,"endHours":8.131910829893538,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.131910829893538,"endHours":9.131910829893538,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.131910829893538,"endHours":10.131910829893538,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.131910829893538,"endHours":11.131910829893538,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.131910829893538,"endHours":12.131910829893538,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.131910829893538,"endHours":13.131910829893538,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.131910829893538,"endHours":14.131910829893538,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.131910829893538,"endHours":15.131910829893538,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.131910829893538,"endHours":16.13191082989354,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.13191082989354,"endHours":17.13191082989354,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.13191082989354,"endHours":18.13191082989354,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.13191082989354,"endHours":19.13191082989354,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.13191082989354,"endHours":20.13191082989354,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.13191082989354,"endHours":21.13191082989354,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.13191082989354,"endHours":22.13191082989354,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.13191082989354,"endHours":23.13191082989354,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.13191082989354,"endHours":24.13191082989354,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.13191082989354,"endHours":25.13191082989354,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.13191082989354,"endHours":26.13191082989354,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.13191082989354,"endHours":27.13191082989354,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.13191082989354,"endHours":28.13191082989354,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.13191082989354,"endHours":29.13191082989354,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.13191082989354,"endHours":30.13191082989354,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.13191082989354,"endHours":31.13191082989354,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-18.301702457845263,"eotMinutes":-12.974632034865841,"ayanamsa":23.2534}},"calendars":{"vikram_samvat":2014,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1879,"saka_samvatsara":"Hemalambī","bengali_samvat":1364,"malayalam_era":1133,"nanakshahi_year":488,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2014 Sādhāraṇa · Śaka 1879 Hemalambī"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 28, 1957 CE · Mathurā · Vidhyamitra","description":"January 28, 1957 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 07:08, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1957-01-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1957-01-28","sa":"https://sa.vidhyamitra.com/city/mathura/1957-01-28","hi":"https://hi.vidhyamitra.com/city/mathura/1957-01-28","x-default":"https://vidhyamitra.com/city/mathura/1957-01-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:26:58.330Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T14:26:58.331Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:26:58.331Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}